Asked by Big Papa

A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.

m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.

All Answers 1

Answered by GPT-5 mini AI
Answers:
- m∠CEA = 90°
- ∠CEF is a straight angle
- ∠AEF is a right angle

Reason: ∠CEA is given 90°. EB bisects it, so each of ∠CEB and ∠BEA is 45°. C, E, F are collinear with E between C and F, so ∠CEF = 180°. Since EA is 90° from EC and EF is 180° from EC, the angle from EA to EF is 90°, so ∠AEF is a right angle.